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Finding the Fourth Proportional to 17,709.96, 24,442.38 and 10,638.12

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Solution

The fourth proportional to 17,709.96, 24,442.38 and 10,638.12 is: 14,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.96 : 24,442.38 = 10,638.12 : x
  2. Step 2: Convert to fraction form
    17,709.96/24,442.38 = 10,638.12/x
  3. Step 3: Cross multiply
    17,709.96x = 24,442.38 × 10,638.12
  4. Step 4: Simplify right side
    17,709.96x = 260,020,971.53
  5. Step 5: Solve for x
    x = 260,020,971.53/17,709.96
  6. Step 6: Final answer
    x = 14,682.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.